APPM 2360 Midterm: appm2360fall2013exam2_0
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On the front of your bluebook write: (1) your name, (2) your student id number, (3) recitation section, (4) your instructor"s name, and (5) a grading table. Books, class notes, cell phones, and calculators are not permitted. Z 1 (e) v = c[0, 1] (continuous functions on [0, 1]), w = {f (t) (cid:12)(cid:12)(cid:12) f (t) dt = 0} c. If the statement is always true, mark true. You do not need to show your work. (any work will not be graded. ) (a) let a and b by n n matrices and a is not invertible. Then |ab| = 0. (b) if ~x r3 is a solution to a~x = ~0 where a is a 3 3 matrix, then ~x = 0. (c) let {v1, v2, v3, v4} be vectors in r3. Then {v1, v2, v3, v4} are linearly dependent. (d) let {v1, v2, v3, v4} be vectors in r3.
